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146434260 = 223571720509
BaseRepresentation
bin10001011101001…
…10100011010100
3101012112122001010
420232212203110
5244441344020
622310332220
73425446020
oct1056464324
9335478033
10146434260
1175727255
124105a070
1324450bbb
141563b380
15ccc7de0
hex8ba68d4

146434260 has 96 divisors (see below), whose sum is σ = 496177920. Its totient is φ = 31500288.

The previous prime is 146434259. The next prime is 146434291. The reversal of 146434260 is 62434641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115 + ... + 17394.

It is an arithmetic number, because the mean of its divisors is an integer number (5168520).

Almost surely, 2146434260 is an apocalyptic number.

146434260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146434260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248088960).

146434260 is an abundant number, since it is smaller than the sum of its proper divisors (349743660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146434260 is a wasteful number, since it uses less digits than its factorization.

146434260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20545 (or 20543 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 146434260 is about 12101.0024378148. The cubic root of 146434260 is about 527.0852935747.

The spelling of 146434260 in words is "one hundred forty-six million, four hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 20509 41018 61527 82036 102545 123054 143563 205090 246108 287126 307635 348653 410180 430689 574252 615270 697306 717815 861378 1045959 1230540 1394612 1435630 1722756 1743265 2091918 2153445 2440571 2871260 3486530 4183836 4306890 4881142 5229795 6973060 7321713 8613780 9762284 10459590 12202855 14643426 20919180 24405710 29286852 36608565 48811420 73217130 146434260